Generically stable and smooth measures in NIP theories
Logic
2010-02-26 v1 Probability
Abstract
We study stable like behaviour in first order theories without the independence property. We introduce generically stable measures, give characterizatiions, and show their ubiquity. We also introduce generic compact domination. We also prove the approximate definability of arbitrary Borel probability measures on definable sets in the real and p-adic fields.
Cite
@article{arxiv.1002.4763,
title = {Generically stable and smooth measures in NIP theories},
author = {Ehud Hrushovski and Anand Pillay and Pierre Simon},
journal= {arXiv preprint arXiv:1002.4763},
year = {2010}
}
Comments
36 pages